5403409 ÷ 419 
We want to divide 5403409 by 419.

Let's proceed to step 1:
419 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 419

Let's proceed to step 2:
When dividing 54 by 419, we get 0 with a remainder of 54.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 54 after subtracting 0 from 54.
Append the next digit (0) from the dividend to 54 and continue with: 540 / 419

Moving on to step 3:
If we divide 540 by 419, we get 1 and a remainder of 121.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 121 after subtracting 419 from 540.
Include the next digit (3) from the dividend after 121, then repeat: 1213 / 419

Step 4:
419 goes into 1213 2 times with a remainder of 375.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtract 838 from 1213 to get 375.
Take the next digit (4) from the dividend and append it to 375, then repeat: 3754 / 419

Moving on to step 5:
The number 419 fits into 3754 8 times, leaving a remainder of 402.
Put 8 as the next digit of the answer. 
Result so far: 128.0
If we take 3352 away from 3754, we end up with 402.
Grab the next digit (0) from the dividend, add it to 402, then carry on: 4020 / 419

Advancing to step 6:
If we divide 4020 by 419, we get 9 and a remainder of 249.
Record the quotient 9 as the next digit in the result. 
Result so far: 1289.0
The remainder is 249 after subtracting 3771 from 4020.
Bring next digit (9) of the dividend behind the 249 and repeat the process: 2499 / 419

Let's proceed to step 7:
419 can be fit into 2499 5 times, resulting in a remainder of 404.
Write down 5 as next digit of the result. 
Result so far: 12895.0
If we take 2095 away from 2499, we end up with 404.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4040, and continue the process.

Going ahead to step 8:
If we divide 4040 by 419, we get 9 and a remainder of 269.
Record the quotient 9 as the next digit in the result. 
Result so far: 12895.9
The remainder is 269 after subtracting 3771 from 4040.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2690, and continue the process.

Moving on to step 9:
2690 divided by 419 is 6 with a remainder of 176.
Record the quotient 6 as the next digit in the result. 
Result so far: 12895.96
Subtracting 2514 from 2690 leaves us with 176.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1760, and continue the process.

Let's proceed to step 10:
1760 divided by 419 is 4 with a remainder of 84.
Record the quotient 4 as the next digit in the result. 
Result so far: 12895.964
Subtract 1676 from 1760 to get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Moving on to step 11:
840 divided by 419 is 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 12895.9642
Subtracting 838 from 840 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 12:
If we divide 20 by 419, we get 0 and a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 12895.9642
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 13:
200 divided by 419 is 0 with a remainder of 200.
Write down 0 as next digit of the result. 
Result so far: 12895.9642
Subtracting 0 from 200 leaves us with 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

In conclusion, the division gives 12895.9642 with a balance of 2e-05.